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Finding the Fourth Proportional to 3,641.46, 5,025.86 and 2,149.28

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Solution

The fourth proportional to 3,641.46, 5,025.86 and 2,149.28 is: 2,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.46 : 5,025.86 = 2,149.28 : x
  2. Step 2: Convert to fraction form
    3,641.46/5,025.86 = 2,149.28/x
  3. Step 3: Cross multiply
    3,641.46x = 5,025.86 × 2,149.28
  4. Step 4: Simplify right side
    3,641.46x = 10,801,980.38
  5. Step 5: Solve for x
    x = 10,801,980.38/3,641.46
  6. Step 6: Final answer
    x = 2,966.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.